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Topic: cube root of a given number
Replies: 112   Last Post: Jan 10, 2013 1:39 PM

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Iain Davidson

Posts: 1,173
Registered: 12/12/04
Re: cube root of a given number
Posted: Jul 21, 2007 5:39 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 21 Jul, 21:38, arithmonic <djes...@gmail.com> wrote:
> On 16 jul, 04:39, "sttscitr...@tesco.net" <sttscitr...@tesco.net>
> wrote:
>

> > I don't think the claim that these methods are in any way
> > new stands up to scrutiny.
> > The idea of Farey dissections is clearly not new.
> > It is mentioned in Hardy and Wright for example.

>
.
>
> You mentioned "Farey Fractions".
> Do you know what you are talking about?
> and they operate only between TWO FRACTIONS (even when you can compute
> many Mediants at the same time it always operate between TWO
> FRACTIONS).


Again you reveal your profound ignorance in these
matters. If you had read Hurwitz's paper you would
realize that you can generalize Farey fractions to
simultaneously approximate two irrationals, this
involves either double or triple mediants.



> The paper you are mentioning deals only with best approximations to
> any given number, but that is far from being a ROOT-SOLVING ALGORITHM.


If you approximate sqrt(2) you are solving x^2-2 =0


> The issue on "best approximations" is well explained on my web pages.

Then find the best simultaneous approximations to
cubrt(25), cubrt(625).

I've made this simple challenge many times in the past
and you were never able to meet it.

How can anyone believe what you say, if your
methods cam't produce what you claim.






Date Subject Author
4/20/04
Read cube root of a given number
vsvasan
4/20/04
Read Re: cube root of a given number
A N Niel
4/20/04
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7/16/07
Read Re: cube root of a given number
Iain Davidson
7/21/07
Read Re: cube root of a given number
arithmetic
7/21/07
Read Re: cube root of a given number
arithmetic
7/21/07
Read Re: cube root of a given number
Iain Davidson
7/21/07
Read Re: cube root of a given number
arithmetic
7/22/07
Read Re: cube root of a given number
Iain Davidson
7/22/07
Read Re: cube root of a given number
arithmetic
7/22/07
Read Re: cube root of a given number
Iain Davidson
7/23/07
Read Re: cube root of a given number
arithmetic
7/24/07
Read Re: cube root of a given number
Iain Davidson
7/24/07
Read Re: cube root of a given number
arithmetic
7/24/07
Read Re: cube root of a given number
arithmetic
7/24/07
Read Re: cube root of a given number
Iain Davidson
7/25/07
Read Re: cube root of a given number
arithmetic
7/24/07
Read Re: cube root of a given number
gwh
7/25/07
Read Re: cube root of a given number
arithmetic
7/25/07
Read Re: cube root of a given number
Iain Davidson
7/25/07
Read Re: cube root of a given number
arithmetic
7/25/07
Read Re: cube root of a given number
Iain Davidson
7/25/07
Read Re: cube root of a given number
arithmetic
7/25/07
Read Re: cube root of a given number
arithmetic
7/25/07
Read Re: cube root of a given number
Iain Davidson
7/25/07
Read Re: cube root of a given number
arithmetic
7/26/07
Read Re: cube root of a given number
Iain Davidson
7/26/07
Read Re: cube root of a given number
arithmetic
7/26/07
Read Re: cube root of a given number
Iain Davidson
7/26/07
Read Re: cube root of a given number
arithmetic
8/6/07
Read Re: cube root of a given number
arithmetic
7/26/07
Read Re: cube root of a given number
semiopen
7/26/07
Read Re: cube root of a given number
Iain Davidson
7/26/07
Read Re: cube root of a given number
semiopen
7/26/07
Read Re: cube root of a given number
arithmetic
7/26/07
Read Re: cube root of a given number
semiopen
7/26/07
Read Re: cube root of a given number
arithmetic
7/26/07
Read Re: cube root of a given number
Iain Davidson
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
Iain Davidson
7/27/07
Read Re: cube root of a given number
Iain Davidson
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
Iain Davidson
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
Iain Davidson
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
Iain Davidson
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
Iain Davidson
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
Iain Davidson
7/28/07
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arithmetic
7/28/07
Read Re: cube root of a given number
Iain Davidson
8/5/07
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arithmeticae
8/5/07
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Iain Davidson
8/6/07
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arithmetic
8/6/07
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Iain Davidson
8/6/07
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arithmeticae
8/7/07
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Iain Davidson
8/7/07
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mike3
8/10/07
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8/10/07
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Iain Davidson
8/11/07
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r3769@aol.com
8/11/07
Read Re: cube root of a given number
Iain Davidson
8/11/07
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r3769@aol.com
8/11/07
Read Re: cube root of a given number
Iain Davidson
8/11/07
Read Re: cube root of a given number
r3769@aol.com
8/12/07
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Iain Davidson
8/17/07
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r3769@aol.com
8/12/07
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8/13/07
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8/24/07
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narasimham
1/10/13
Read Re: cube root of a given number ...
Milo Gardner
8/28/07
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arithmetic
8/28/07
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8/7/07
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mike3
8/7/07
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Iain Davidson
8/10/07
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arithmetic
8/10/07
Read Re: cube root of a given number
arithmetic
7/28/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
arithmetic
7/27/07
Read Re: cube root of a given number
arithmetic
7/26/07
Read Re: cube root of a given number
Iain Davidson
7/26/07
Read Re: cube root of a given number
arithmetic
7/25/07
Read Re: cube root of a given number
Iain Davidson
7/26/07
Read Re: cube root of a given number
arithmetic
7/22/07
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arithmetic
7/21/07
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7/16/07
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Proginoskes
7/21/07
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7/22/07
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7/22/07
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7/22/07
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Proginoskes
7/23/07
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arithmetic
7/23/07
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7/24/07
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7/16/07
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gwh
7/17/07
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7/21/07
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arithmetic
7/21/07
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arithmetic
7/21/07
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7/24/07
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7/25/07
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